Existence and global attractiveness of pseudo almost periodic solutions to impulsive partial stochastic neutral functional differential equations
Existence and global attractiveness of pseudo almost periodic solutions to impulsive partial stochastic neutral functional differential equations
复制标题
脉冲偏随机中性泛函微分方程伪准周期解的存在性及其全局吸引力
DOI：
--
复制
发表时间：
2019
影响因子：
--
通讯作者：
Fangxia Lu （卢芳霞）
中科院分区：
文献类型：
--
作者：
Zuomao Yan （闫作茂）;Fangxia Lu （卢芳霞）
本文针对随机过程引入了p-均值分段伪概周期的新概念，建立了非Lipschitz条件下伪概周期函数的新复合定理。利用该复合定理、解析半群理论和不动点策略以及随机分析理论，研究了p-均值分段伪概周期函数的存在性及其全局吸引力。 脉冲偏中性随机中性泛函微分方程的温和解。此外，还给出了一个例子来说明一般定理。
In this paper, we introduce a new concept of p-mean piecewise.pseudo almost periodic for a stochastic process and establish a new composition.theorem about pseudo almost periodic functions under non-Lipschitz conditions..Using this composition theorem, the analytic semigroup theory and fixed point.strategy with stochastic analysis theory, we also study the existence and the.global attractiveness for p-mean piecewise pseudo almost periodic mild solutions.for impulsive partial neutral stochastic neutral functional differential equations..Moreover, an example is given to illustrate the general theorems.